https://file.aiquickdraw.com/mathbot/file/1729465368309zn2v8n8d.jpg

To solve for the measure of angle \(1\) in the triangle, we can use the **Triangle Angle Sum Theorem**, which states that the sum of the angles in any triangle is always \(180^\circ\).

We are given:
- One angle is \(80^\circ\),
- Another angle is \(18^\circ\).

Let \(x\) represent the unknown angle (angle 1). Using the Triangle Angle Sum Theorem, we have:

\[
80^\circ + 18^\circ + x = 180^\circ
\]

Now, solve for \(x\):

\[
98^\circ + x = 180^\circ
\]

\[
x = 180^\circ - 98^\circ
\]

\[
x = 82^\circ
\]

Therefore, the measure of angle 1 is \(82^\circ\).

Would you like more details or have any questions? Here are 5 related questions:

1. What is the Triangle Angle Sum Theorem?
2. How would you solve if the triangle were an isosceles triangle?
3. Can you use this theorem for non-Euclidean triangles?
4. How do we solve for angles in quadrilaterals?
5. What are the properties of right-angled triangles?

**Tip:** Always ensure the sum of the angles in any triangle adds up to \(180^\circ\).

The measure of angle 1 in a triangle with angles 80° and 18°.

Learn how to calculate the missing angle in a triangle with two known angles, 80° and 18°, using the Triangle Angle Sum Theorem. This step-by-step solution is perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation